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Finding the Fourth Proportional to 7,590.81, 11,387.43 and 3,208.31

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Solution

The fourth proportional to 7,590.81, 11,387.43 and 3,208.31 is: 4,812.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,590.81 : 11,387.43 = 3,208.31 : x
  2. Step 2: Convert to fraction form
    7,590.81/11,387.43 = 3,208.31/x
  3. Step 3: Cross multiply
    7,590.81x = 11,387.43 × 3,208.31
  4. Step 4: Simplify right side
    7,590.81x = 36,534,405.54
  5. Step 5: Solve for x
    x = 36,534,405.54/7,590.81
  6. Step 6: Final answer
    x = 4,812.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.